{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.animation as animation\n",
    "from IPython.display import HTML\n",
    "import random"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def generate(length, n, repeat):\n",
    "    nums = list(range(length))\n",
    "    del_nums = random.sample(nums, n)\n",
    "    new_nums = [element for element in nums if element not in del_nums]\n",
    "    target = random.choice(list(range(sum(new_nums))))\n",
    "    final_nums = [element for element in new_nums for _ in range(random.randint(1,repeat))]\n",
    "    random.shuffle(final_nums)\n",
    "    return final_nums, target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "([2, 5, 0, 5, 6, 6, 6, 0, 0, 2, 0, 6, 0, 1], 12)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nums,target = generate(10,5,5)\n",
    "nums,target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def algorithm(nums, target):\n",
    "    start = 0\n",
    "    end = 0\n",
    "    s = 0\n",
    "    size = len(nums)\n",
    "    result = float('inf')\n",
    "    \n",
    "    move = []\n",
    "    \n",
    "    while end < size:\n",
    "        move.append((start, end))\n",
    "        s += nums[end]\n",
    "        while s >= target:\n",
    "            result = min(result, end - start + 1)\n",
    "            s -= nums[start]\n",
    "            start +=1\n",
    "        end +=1\n",
    "        \n",
    "    return result, move if result != float('inf') else 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "#指针移动可视化\n",
    "def visualize_pointer_movement_with_squares(nums,target,algorithm):\n",
    "    original_nums = nums.copy()\n",
    "    _, pointer_movements = algorithm(nums.copy(),target)\n",
    "    fig, ax = plt.subplots(figsize=(12, 4))\n",
    "    \n",
    "    for i, num in enumerate(original_nums):\n",
    "        ax.text(i, 0.5, num, ha='center', va='center', fontsize=12)\n",
    "        ax.add_patch(plt.Rectangle((i - 0.5, 0), 1, 1, fill=None, edgecolor='black'))\n",
    "\n",
    "    fast_pointer, = ax.plot([], [], 'r^', label='Fast Pointer', markersize=10)\n",
    "    slow_pointer, = ax.plot([], [], 'bv', label='Slow Pointer', markersize=10)\n",
    "    ax.set_xlim(-0.5, len(nums) - 0.5)\n",
    "    ax.set_ylim(-1, 2)\n",
    "    ax.axis('off')\n",
    "    ax.legend(loc='upper right')\n",
    "\n",
    "    def update(frame):\n",
    "        fast, slow = pointer_movements[frame]\n",
    "        fast_pointer.set_data((fast ,), (1.5,))\n",
    "        slow_pointer.set_data((slow ,), (-0.5,))\n",
    "        return fast_pointer, slow_pointer\n",
    "\n",
    "    ani = animation.FuncAnimation(fig, update, frames=len(pointer_movements), interval=800, blit=True)\n",
    "    return HTML(ani.to_jshtml())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<link rel=\"stylesheet\"\n",
       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/css/font-awesome.min.css\">\n",
       "<script language=\"javascript\">\n",
       "  function isInternetExplorer() {\n",
       "    ua = navigator.userAgent;\n",
       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
       "  }\n",
       "\n",
       "  /* Define the Animation class */\n",
       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
       "    this.img_id = img_id;\n",
       "    this.slider_id = slider_id;\n",
       "    this.loop_select_id = loop_select_id;\n",
       "    this.interval = interval;\n",
       "    this.current_frame = 0;\n",
       "    this.direction = 0;\n",
       "    this.timer = null;\n",
       "    this.frames = new Array(frames.length);\n",
       "\n",
       "    for (var i=0; i<frames.length; i++)\n",
       "    {\n",
       "     this.frames[i] = new Image();\n",
       "     this.frames[i].src = frames[i];\n",
       "    }\n",
       "    var slider = document.getElementById(this.slider_id);\n",
       "    slider.max = this.frames.length - 1;\n",
       "    if (isInternetExplorer()) {\n",
       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
       "        // with W3C specification. It ignores oninput and onchange behaves\n",
       "        // like oninput. In contrast, Mircosoft Edge behaves correctly.\n",
       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
       "        slider.setAttribute('oninput', null);\n",
       "    }\n",
       "    this.set_frame(this.current_frame);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.get_loop_state = function(){\n",
       "    var button_group = document[this.loop_select_id].state;\n",
       "    for (var i = 0; i < button_group.length; i++) {\n",
       "        var button = button_group[i];\n",
       "        if (button.checked) {\n",
       "            return button.value;\n",
       "        }\n",
       "    }\n",
       "    return undefined;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.set_frame = function(frame){\n",
       "    this.current_frame = frame;\n",
       "    document.getElementById(this.img_id).src =\n",
       "            this.frames[this.current_frame].src;\n",
       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.next_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.previous_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.first_frame = function()\n",
       "  {\n",
       "    this.set_frame(0);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.last_frame = function()\n",
       "  {\n",
       "    this.set_frame(this.frames.length - 1);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.slower = function()\n",
       "  {\n",
       "    this.interval /= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.faster = function()\n",
       "  {\n",
       "    this.interval *= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_forward = function()\n",
       "  {\n",
       "    this.current_frame += 1;\n",
       "    if(this.current_frame < this.frames.length){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.first_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.last_frame();\n",
       "        this.reverse_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.last_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_reverse = function()\n",
       "  {\n",
       "    this.current_frame -= 1;\n",
       "    if(this.current_frame >= 0){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.last_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.first_frame();\n",
       "        this.play_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.first_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.pause_animation = function()\n",
       "  {\n",
       "    this.direction = 0;\n",
       "    if (this.timer){\n",
       "      clearInterval(this.timer);\n",
       "      this.timer = null;\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.play_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = 1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_forward();\n",
       "    }, this.interval);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.reverse_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = -1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_reverse();\n",
       "    }, this.interval);\n",
       "  }\n",
       "</script>\n",
       "\n",
       "<style>\n",
       ".animation {\n",
       "    display: inline-block;\n",
       "    text-align: center;\n",
       "}\n",
       "input[type=range].anim-slider {\n",
       "    width: 374px;\n",
       "    margin-left: auto;\n",
       "    margin-right: auto;\n",
       "}\n",
       ".anim-buttons {\n",
       "    margin: 8px 0px;\n",
       "}\n",
       ".anim-buttons button {\n",
       "    padding: 0;\n",
       "    width: 36px;\n",
       "}\n",
       ".anim-state label {\n",
       "    margin-right: 8px;\n",
       "}\n",
       ".anim-state input {\n",
       "    margin: 0;\n",
       "    vertical-align: middle;\n",
       "}\n",
       "</style>\n",
       "\n",
       "<div class=\"animation\">\n",
       "  <img id=\"_anim_img20d09b2185044af2998f7c4f577754a3\">\n",
       "  <div class=\"anim-controls\">\n",
       "    <input id=\"_anim_slider20d09b2185044af2998f7c4f577754a3\" type=\"range\" class=\"anim-slider\"\n",
       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
       "           oninput=\"anim20d09b2185044af2998f7c4f577754a3.set_frame(parseInt(this.value));\"></input>\n",
       "    <div class=\"anim-buttons\">\n",
       "      <button title=\"Decrease speed\" onclick=\"anim20d09b2185044af2998f7c4f577754a3.slower()\">\n",
       "          <i class=\"fa fa-minus\"></i></button>\n",
       "      <button title=\"First frame\" onclick=\"anim20d09b2185044af2998f7c4f577754a3.first_frame()\">\n",
       "        <i class=\"fa fa-fast-backward\"></i></button>\n",
       "      <button title=\"Previous frame\" onclick=\"anim20d09b2185044af2998f7c4f577754a3.previous_frame()\">\n",
       "          <i class=\"fa fa-step-backward\"></i></button>\n",
       "      <button title=\"Play backwards\" onclick=\"anim20d09b2185044af2998f7c4f577754a3.reverse_animation()\">\n",
       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
       "      <button title=\"Pause\" onclick=\"anim20d09b2185044af2998f7c4f577754a3.pause_animation()\">\n",
       "          <i class=\"fa fa-pause\"></i></button>\n",
       "      <button title=\"Play\" onclick=\"anim20d09b2185044af2998f7c4f577754a3.play_animation()\">\n",
       "          <i class=\"fa fa-play\"></i></button>\n",
       "      <button title=\"Next frame\" onclick=\"anim20d09b2185044af2998f7c4f577754a3.next_frame()\">\n",
       "          <i class=\"fa fa-step-forward\"></i></button>\n",
       "      <button title=\"Last frame\" onclick=\"anim20d09b2185044af2998f7c4f577754a3.last_frame()\">\n",
       "          <i class=\"fa fa-fast-forward\"></i></button>\n",
       "      <button title=\"Increase speed\" onclick=\"anim20d09b2185044af2998f7c4f577754a3.faster()\">\n",
       "          <i class=\"fa fa-plus\"></i></button>\n",
       "    </div>\n",
       "    <form title=\"Repetition mode\" action=\"#n\" name=\"_anim_loop_select20d09b2185044af2998f7c4f577754a3\"\n",
       "          class=\"anim-state\">\n",
       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_20d09b2185044af2998f7c4f577754a3\"\n",
       "             >\n",
       "      <label for=\"_anim_radio1_20d09b2185044af2998f7c4f577754a3\">Once</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_20d09b2185044af2998f7c4f577754a3\"\n",
       "             checked>\n",
       "      <label for=\"_anim_radio2_20d09b2185044af2998f7c4f577754a3\">Loop</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_20d09b2185044af2998f7c4f577754a3\"\n",
       "             >\n",
       "      <label for=\"_anim_radio3_20d09b2185044af2998f7c4f577754a3\">Reflect</label>\n",
       "    </form>\n",
       "  </div>\n",
       "</div>\n",
       "\n",
       "\n",
       "<script language=\"javascript\">\n",
       "  /* Instantiate the Animation class. */\n",
       "  /* The IDs given should match those used in the template above. */\n",
       "  (function() {\n",
       "    var img_id = \"_anim_img20d09b2185044af2998f7c4f577754a3\";\n",
       "    var slider_id = \"_anim_slider20d09b2185044af2998f7c4f577754a3\";\n",
       "    var loop_select_id = \"_anim_loop_select20d09b2185044af2998f7c4f577754a3\";\n",
       "    var frames = new Array(14);\n",
       "    \n",
       "  frames[0] = \"\\\n",
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       "oAAAAABJRU5ErkJggg==\\\n",
       "\"\n",
       "\n",
       "\n",
       "    /* set a timeout to make sure all the above elements are created before\n",
       "       the object is initialized. */\n",
       "    setTimeout(function() {\n",
       "        anim20d09b2185044af2998f7c4f577754a3 = new Animation(frames, img_id, slider_id, 800.0,\n",
       "                                 loop_select_id);\n",
       "    }, 0);\n",
       "  })()\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_pointer_movement_with_squares(nums, target, algorithm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2,\n",
       " [(0, 0),\n",
       "  (0, 1),\n",
       "  (0, 2),\n",
       "  (0, 3),\n",
       "  (1, 4),\n",
       "  (2, 5),\n",
       "  (5, 6),\n",
       "  (6, 7),\n",
       "  (6, 8),\n",
       "  (6, 9),\n",
       "  (6, 10),\n",
       "  (6, 11),\n",
       "  (7, 12),\n",
       "  (7, 13)])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "algorithm(nums, target)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
